Uniqueness of large positive solutions
type: Item
instance of: scholarly article
title: Uniqueness of large positive solutions
zbMATH Open document ID: 1381.35046
author: Julián López-Gómez
author: Luis Maire
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2017-12-08T00:00:00Z
review text: Let \(\Omega\) be a smooth bounded domain in \({\mathbb R}^N\). This paper is concerned with the uniqueness of blow-up boundary solutions for the logistic-type equation \(-\Delta u=\lambda u-a(x)f(u)\) in \(\Omega\), where \(\lambda\) is a real parameter, \(a\) is a non-negative potential, and \(f\) is a non-decreasing function that is super-homogeneous of degree \(p>1\). The main results establish very refined properties, which extend several previous important contributions and open perspectives in the analysis of singular solutions of nonlinear elliptic equations.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6816890
zbMATH Keywords: logistic-type equation
zbMATH Keywords: large positive solutions
MaRDI profile type: Publication
full work available at URL: s00033-017-0829-1
OpenAlex ID: W2735763528
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DOI: 10.1007/S00033-017-0829-1
description: scientific article; zbMATH DE number 6816890